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Sqrt ​

The principal square root of x: .

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Sqrt(x)the principal square root .
SageMathsqrt(x)SymPysqrt(x)mpmathsqrt(x)

Domain: Arithmetic

Details
  • The principal square root: . See Root for other roots and Square for the inverse operation.
  • Evaluates exactly only when the radicand is a perfect square (or a ratio of perfect squares); otherwise it stays in symbolic surd form, like .
  • A negative radicand gives an imaginary result, for -- but only reduces to an exact Complex number when itself is a perfect square.
  • .
  • compute-engine's Sqrt is a special case of the more general Root: canonicalizes to .

Examples

See also: Root, Square